Maths Resources GCSE Worksheets

# Grouped Frequency Table Worksheet

• Section 1 of the grouped frequency table worksheet contains 20+ skills-based grouped frequency table questions, in 3 groups to support differentiation
• Section 2 contains 3 applied grouped frequency table questions with a mix of worded problems and deeper problem solving questions
• Section 3 contains 3 foundation and higher level GCSE exam style practice questions including word problems
• Answers and a mark scheme for all exam questions are provided
• Questions follow variation theory with plenty of opportunities for students to work independently at their own level
• All questions are created by fully qualified expert secondary maths teachers
• Suitable for GCSE maths revision for AQA, OCR and Edexcel exam boards

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### Grouped frequency table at a glance

A grouped frequency table, or grouped frequency distribution, is a table where data is arranged into groups. Presenting data in a grouped way makes it easier to interpret the data but the data can lose its precision and accuracy.

The groups, or class intervals, are often denoted using inequalities. This is particularly useful for continuous data to prevent overlapping groups. For example, the classes for the age, a, of a number of students might be 10 ≤ a < 12, 12 ≤ a < 14, 14 ≤ a < 16, and 16 ≤a < 18.

When collecting data into the grouped categories, a tally frequency system is used with a total column to summarise the data that the table shows.

Although this worksheet does not cover averages from grouped data we can use the data in a table to work out averages:

• The modal class is the class with the highest frequency.
• The class which contains the median which is the class in which the middle value lies.
• To find the estimated mean, we multiply the midpoint of each class by its frequency, add these together and divide by the total number of items included in the table.

Looking forward, students can then progress to additional frequency table worksheets and other statistics worksheets, for example a line graph worksheet or mean, median mode and range worksheet.

For more teaching and learning support on Statistics our GCSE maths lessons provide step by step support for all GCSE maths concepts.

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